diff --git a/test/freeflow/brinkman/params.input b/test/freeflow/brinkman/params.input
index 8d32be70c4bc88775c91929ab921e891db1a1ac3..60dfe2727360a93ad9975ae3a2514308e63258dd 100644
--- a/test/freeflow/brinkman/params.input
+++ b/test/freeflow/brinkman/params.input
@@ -1,6 +1,7 @@
[Grid]
UpperRight = 3 1
Cells = 90 40
+Refinement = 0
[Problem]
Name = test_ff_brinkman_obstacle
diff --git a/test/freeflow/brinkman/spatialparams.hh b/test/freeflow/brinkman/spatialparams.hh
index 7112b44cbc9ec29b982e31ad1edc640323a5214b..a357173fe00789e0047cc8aa41592b1959489f90 100644
--- a/test/freeflow/brinkman/spatialparams.hh
+++ b/test/freeflow/brinkman/spatialparams.hh
@@ -65,7 +65,7 @@ public:
{ return inversePermeability_; }
Scalar brinkmanEpsilon(const Element& element, const FVElementGeometry& fvGeometry, const SubControlVolume& scv) const
- { return brinkmanEpsilonAtPos(scv.center()); }
+ { return brinkmanEpsilonAtPos(scv.dofPosition()); }
Scalar brinkmanEpsilonAtPos(const GlobalPosition& globalPos) const
{
diff --git a/test/references/test_ff_brinkman_obstacle-reference.vtu b/test/references/test_ff_brinkman_obstacle-reference.vtu
deleted file mode 100644
index 16803086610257b6a7047ee664c42877215fb0b8..0000000000000000000000000000000000000000
--- a/test/references/test_ff_brinkman_obstacle-reference.vtu
+++ /dev/null
@@ -1,4564 +0,0 @@
-<?xml version="1.0"?>
-<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
- <UnstructuredGrid>
- <Piece NumberOfCells="2700" NumberOfPoints="2821">
- <CellData Scalars="p" Vectors="velocity_liq (m/s)">
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diff --git a/test/references/test_ff_brinkman_obstacle_pq1bubble_box_simplex-reference.vtu b/test/references/test_ff_brinkman_obstacle_pq1bubble_box_simplex-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..55fc816be43d59199181dc624edf36f6766d591c
--- /dev/null
+++ b/test/references/test_ff_brinkman_obstacle_pq1bubble_box_simplex-reference.vtu
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diff --git a/test/references/test_ff_brinkman_obstacle_staggered_tpfa-reference.vtu b/test/references/test_ff_brinkman_obstacle_staggered_tpfa-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..c126dd20156f5b2d8251bb4767ac4d7d40bd511c
--- /dev/null
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